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In this paper, a gradient-free distributed algorithm is introduced to solve a set constrained optimization problem under a directed communication network. Specifically, at each time-step, the agents locally compute a so-called…

最优化与控制 · 数学 2021-09-06 Yipeng Pang , Guoqiang Hu

We consider the minimal k-grouping problem: given a graph G=(V,E) and a constant k, partition G into subgraphs of diameter no greater than k, such that the union of any two subgraphs has diameter greater than k. We give a silent…

分布式、并行与集群计算 · 计算机科学 2019-07-26 Ajoy K. Datta , Lawrence L. Larmore , Toshimitsu Masuzawa , Yuichi Sudo

Graph partitioning schedules parallel calculations like sparse matrix-vector multiply (SpMV). We consider contiguous partitions, where the $m$ rows (or columns) of a sparse matrix with $N$ nonzeros are split into $K$ parts without…

数据结构与算法 · 计算机科学 2024-10-30 Willow Ahrens

The $\hybrid$ model was recently introduced by Augustine et al. \cite{DBLP:conf/soda/AugustineHKSS20} in order to characterize from an algorithmic standpoint the capabilities of networks which combine multiple communication modes.…

分布式、并行与集群计算 · 计算机科学 2021-08-05 Ioannis Anagnostides , Themis Gouleakis

We propose polynomial-time algorithms that sparsify planar and bounded-genus graphs while preserving optimal or near-optimal solutions to Steiner problems. Our main contribution is a polynomial-time algorithm that, given an unweighted graph…

数据结构与算法 · 计算机科学 2017-07-12 Marcin Pilipczuk , Michał Pilipczuk , Piotr Sankowski , Erik Jan van Leeuwen

In this paper, we consider the unconstrained distributed optimization problem, in which the exchange of information in the network is captured by a directed graph topology, thus, nodes can only communicate with their neighbors.…

系统与控制 · 电气工程与系统科学 2023-12-07 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

Distributed optimization aims to leverage the local computation and communication capabilities of each agent to achieve a desired global objective. This paper addresses the distributed pose graph optimization (PGO) problem under non-convex…

系统与控制 · 电气工程与系统科学 2025-03-11 Zeinab Ebrahimi , Mohammad Deghat

This paper investigates a joint active and passive beamforming design for distributed simultaneous transmitting and reflecting (STAR) reconfigurable intelligent surface (RIS) assisted multi-user (MU)- mutiple input single output (MISO)…

信息论 · 计算机科学 2025-02-27 Ha An Le , Trinh Van Chien , Wan Choi

This paper deals with an optimization problem over a network of agents, where the cost function is the sum of the individual objectives of the agents and the constraint set is the intersection of local constraints. Most existing methods…

最优化与控制 · 数学 2018-06-20 Van Sy Mai , Eyad H. Abed

In this paper we propose and analyze a distributed algorithm for achieving globally optimal decisions, either estimation or detection, through a self-synchronization mechanism among linearly coupled integrators initialized with local…

多智能体系统 · 计算机科学 2009-11-13 Gesualdo Scutari , Sergio Barbarossa , Loreto Pescosolido

Many combinatorial optimization problems can be approximated within $(1 \pm \epsilon)$ factors in $\text{poly}(\log n, 1/\epsilon)$ rounds in the LOCAL model via network decompositions [Ghaffari, Kuhn, and Maus, STOC 2018]. These approaches…

数据结构与算法 · 计算机科学 2025-10-24 Yi-Jun Chang , Hsin-Hao Su

We study the distributed minimum spanning tree (MST) problem, a fundamental problem in distributed computing. It is well-known that distributed MST can be solved in $\tilde{O}(D+\sqrt{n})$ rounds in the standard CONGEST model (where $n$ is…

分布式、并行与集群计算 · 计算机科学 2023-12-20 John Augustine , William K. Moses , Gopal Pandurangan

Fast distributed algorithms that output a feasible solution for constraint satisfaction problems, such as maximal independent sets, have been heavily studied. There has been much less research on distributed sampling problems, where one…

分布式、并行与集群计算 · 计算机科学 2023-03-07 Sriram V. Pemmaraju , Joshua Z. Sobel

Many mobile networks are represented as graphs to obtain insight to their connectivity and transmission properties. Among these properties centrality resilience, that is, how well centralities, such as closeness and betweennesss, are…

社会与信息网络 · 计算机科学 2024-07-10 Fariba Afrin Irany , Soumya Sarakar , Animesh Mukherjee , Sanjukta Bhowmick

We give new, improved bounds for approximating the sparsest cut value or in other words the conductance $\phi$ of a graph in the CONGEST model. As our main result, we present an algorithm running in $O(\log^2 n/\phi)$ rounds in which every…

数据结构与算法 · 计算机科学 2025-08-28 Yannic Maus , Tijn de Vos

Maximal Independent Set (MIS) is one of the fundamental problems in distributed computing. The round (time) complexity of distributed MIS has traditionally focused on the \emph{worst-case time} for all nodes to finish. The best-known…

分布式、并行与集群计算 · 计算机科学 2020-06-16 Soumyottam Chatterjee , Robert Gmyr , Gopal Pandurangan

The recent work ``Combinatorial Optimization with Physics-Inspired Graph Neural Networks'' [Nat Mach Intell 4 (2022) 367] introduces a physics-inspired unsupervised Graph Neural Network (GNN) to solve combinatorial optimization problems on…

机器学习 · 计算机科学 2023-01-04 Maria Chiara Angelini , Federico Ricci-Tersenghi

A fundamental problem in wireless networks is the maximum link scheduling problem: given a set $L$ of links, compute the largest possible subset $L'\subseteq L$ of links that can be scheduled simultaneously without interference. This…

分布式、并行与集群计算 · 计算机科学 2012-11-19 Guanhong Pei , Anil Kumar S. Vullikanti

The notion of vertex sparsification is introduced in \cite{M}, where it was shown that for any graph $G = (V, E)$ and a subset of $k$ terminals $K \subset V$, there is a polynomial time algorithm to construct a graph $H = (K, E_H)$ on just…

数据结构与算法 · 计算机科学 2010-06-24 Moses Charikar , Tom Leighton , Shi Li , Ankur Moitra

Inspired by distributed resource allocation problems in dynamic topology networks, we initiate the study of distributed consensus with finite messaging passing. We first find a sufficient condition on the network graph for which no…

信息论 · 计算机科学 2010-07-01 Debashis Dash , Ashutosh Sabharwal